What is the Greatest Common Factor of 11058 and 11070?

Greatest common factor (GCF) of 11058 and 11070 is 6.

GCF(11058,11070) = 6

We will now calculate the prime factors of 11058 and 11070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11058 and 11070.

How to find the GCF of 11058 and 11070?

We will first find the prime factorization of 11058 and 11070. After we will calculate the factors of 11058 and 11070 and find the biggest common factor number .

Step-1: Prime Factorization of 11058

Prime factors of 11058 are 2, 3, 19, 97. Prime factorization of 11058 in exponential form is:

11058 = 2¹ × 3¹ × 19¹ × 97¹

Step-2: Prime Factorization of 11070

Prime factors of 11070 are 2, 3, 5, 41. Prime factorization of 11070 in exponential form is:

11070 = 2¹ × 3³ × 5¹ × 41¹

Step-3: Factors of 11058

List of positive integer factors of 11058 that divides 11058 without a remainder.

1, 2, 3, 6, 19, 38, 57, 97, 114, 194, 291, 582, 1843, 3686, 5529

Step-4: Factors of 11070

List of positive integer factors of 11070 that divides 11058 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 82, 90, 123, 135, 205, 246, 270, 369, 410, 615, 738, 1107, 1230, 1845, 2214, 3690, 5535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11058 and 11070. The biggest common factor number is the GCF number.
So the greatest common factor 11058 and 11070 is 6.

Also check out the Least Common Multiple of 11058 and 11070